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Finding the Fourth Proportional to 1,959, 2,701.84 and 1,722.44

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Solution

The fourth proportional to 1,959, 2,701.84 and 1,722.44 is: 2,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959 : 2,701.84 = 1,722.44 : x
  2. Step 2: Convert to fraction form
    1,959/2,701.84 = 1,722.44/x
  3. Step 3: Cross multiply
    1,959x = 2,701.84 × 1,722.44
  4. Step 4: Simplify right side
    1,959x = 4,653,757.29
  5. Step 5: Solve for x
    x = 4,653,757.29/1,959
  6. Step 6: Final answer
    x = 2,375.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.